Finding the Third Proportional to 50,570 and 75,853

Step by Step Solution

1. Step 1: Write the proportion equation
   50,570 : 75,853 = 75,853 : x
2. Step 2: Convert to fraction form
   50,570/75,853 = 75,853/x
3. Step 3: Cross multiply
   50,570x = 75,853 × 75,853
4. Step 4: Simplify right side
   50,570x = 5,753,677,609
5. Step 5: Solve for x
   x = 5,753,677,609/50,570
6. Step 6: Final answer
   x = 113,776.50